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What is the two-digit number N? Statement I: The sum of its digits is 9, and its tens digit is twice its units digit. Statement II: N is greater than 50 and is a multiple of 9. Which statement(s) is/are sufficient to answer?

Competition practiceData Sufficiency
  • AEither statement alone is sufficient
  • BStatement I alone is sufficient but Statement II alone is not
  • CBoth statements together are needed (neither alone is sufficient)
  • DStatement II alone is sufficient but Statement I alone is not

Step-by-Step Solution

From I, units + 2·units = 9 gives units 3 and tens 6, so N = 63 uniquely. II allows 54, 63, 72, 81, 90 and 99 — not unique.
Answer: B) Statement I alone is sufficient but Statement II alone is not

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